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Bound rays of fibers

  • Allan W. Snyder
  • John D. Love

Abstract

In Chapter 1 we established the basic concepts for the ray analysis of planar waveguides. Here we extend the analysis to optical fibers, which are used for high-capacity communication over long distances. As far as ray tracing is concerned, the only difference between fibers and planar waveguides is the introduction of the third dimension. Thus, although the ray concepts are the same as in Chapter 1, the analysis and resulting expressions are generally more complicated because of the fiber geometry. Nevertheless, one of the important results of this chapter shows that the ray transit times for step and clad power-law profile fibers of both circular and noncircular cross-sections are identical to those of the corresponding planar waveguides. If this remarkable simplification is acceptable without proof, then pulse spreading in such fibers can be studied directly by proceeding to Chapter 3 and omitting this chapter at a first reading.

Keywords

Transit Time Planar Waveguide Parabolic Profile Circular Fiber Step Profile 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Snyder, A. W. (1974) Leaky-ray theory of optical waveguides of circular cross-section. Appl. Phys., 4, 273–98.CrossRefGoogle Scholar
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    Rawson, E. G., Herriott, D. R. and McKenna, J. (1970) Analysis of refractive index distributions in cylindrical, graded-index glass rods (GRIN) used as image relays. Appl. Opt., 9, 753–9.CrossRefGoogle Scholar
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    Ankiewicz, A. and Pask, C. (1977) Geometric optics approach to light acceptance and propagation in graded-index fibres. Opt. Quant. Elect., 9, 87–109.CrossRefGoogle Scholar
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    Lipson, S. G. and Lipson, H. (1969) Optical Physics, Cambridge University Press, p. 80.Google Scholar
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    Barrell, K. F. and Pask, C. (1979) Geometric optics analysis of non-circular graded-index fibres. Opt. Quant. Elect., 11, 237–51.CrossRefGoogle Scholar
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    Ankiewicz, A. (1979) Ray theory of graded non-circular optical fibres. Opt. Quant. Elect., 11, 197–203.CrossRefGoogle Scholar

Copyright information

© Allan W. Snyder and John D. Love 1983

Authors and Affiliations

  • Allan W. Snyder
    • 1
  • John D. Love
    • 1
  1. 1.Institute of Advanced StudiesAustralian National UniversityCanberraAustralia

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